| Summary: | Abstract N $$ \mathcal{N} $$ = 1 supersymmetric SU(N) × SU(N + M) cascading gauge theory of Klebanov et al. [1, 2] spontaneously breaks chiral symmetry in Minkowski space-time. We demonstrate that in de Sitter space-time the chiral symmetry breaking occurs for the values of the Hubble constant H < ~ 0.7 Λ , $$ H\underset{\sim }{<}0.7\Lambda, $$ as well as in the narrow window 0.92(1)Λ ≤ H ≤ 0.92(5)Λ. We give a precise definition of the strong coupling scale A of the cascading gauge theory, which is related to the glueball mass scale in the theory m glueball and the asymptotic string coupling g s as Λ ~ g s 1 / 2 $$ \Lambda \sim {g}_s^{1/2} $$ m gluebal.l
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